Sentence examples for using the approaches described from inspiring English sources

We then estimated our mixture model (Supplementary Equations 9 11) using the approaches described in the Supplementary Methods.

The modified multi-analyte approaches were first validated by comparing data obtained for LS Brown snus using the approaches described above with data previously obtained for this product using established in-house methods.

Using this formulation, we obtain formulations for the outer and inner bounds on the SPCGS rate region using the approaches described in Section 4. The rate region for this scenario lies in a 4-dimensional space, which can be rather difficult to visualize.

We therefore decided to re-analyze the data of Thompson et al. using the approaches described in this paper.

To test these hypotheses, we further investigated Arb interaction properties with lipids and protein fragments using the approaches described in the following.

We determine the distribution of random error using the approaches described in [13] and find that the normal distribution is proper.

Using the approach described in this study may help to characterize impacted water sources and to design targeted land use management plans in other watersheds in the future.

Two further series of models are built using the approach described in the previous section.

The resulting 2,543,219 tweets were mapped to U.S. states using the approach described above.

Fig. 4 The resulting zone system for the Munich metropolitan area, developed using the approach described in this paper.

Before using the approach described in this paper we used byte as the data type exchanged through channels, following the UNIX I/O design.